A triangle has an area of 52 in², what would the area be if the base was one half as long and the height was twice as long?

Answer:

the cost per liter of the paint is equal to 24 8/liter

Hope this helps :)

Answer:

True- She needs $3 more. She will not have enough money to buy everything. The cost is $28.

False- She has $3 left over.

Step-by-step explanation:

2 pounds of burgers for $3 each is $6

1 bag o bun equals $2

5 bags of chips for $4 each is $20

$20 + $6 +$2 = $28

She only had $25 to spent, so she doesn't have enough money and needs to 3 more dollars.

The amount loaned at 5% interest is $7,500. Let's say the bank loaned out x dollars. The amount loaned at 5% interest is 0.05x dollars, and the amount loaned at 10% interest is 0.10x dollars.

We know that the total interest received in one year was y dollars. We can set up the following equation to represent this information:

0.05x + 0.10(x - 0.05x) = y

Simplifying the right side of this equation, we get:

0.05x + 0.10x - 0.05x = y

0.05x = y

Dividing both sides of this equation by 0.05, we get:

x = y / 0.05

x = 20y

We are given that the total interest received was $y = $1,500. Plugging this value into the equation, we get:

x = 20(1,500)

x = $30,000

Therefore, the amount loaned at 5% interest is $30,000 / 2 = $15,000. However, we are asked for the amount loaned at 5% interest, not 10% interest. So, we need to divide this amount by 2:

$15,000 / 2 = $7,500

Therefore, the amount loaned at 5% interest is $7,500.

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QUESTION:

A bank loaned out $18,000, part of it at the rate of 8% per year and the rest at 16% per year. If the interest received in one year totaled $2000, how much was loaned at 8%?

Answer:

360 cm

Step-by-step explanation:

volume= length x width x height

8*5*9=360 cm

Answer:

360cm

Step-by-step explanation:

All you have to do is multiply the numbers.

To break it up, you can first multiply 8 and 5.

8 x 5 = 40.

Now that you have 40, multiply that by 9.

40 x 9 = 360.

Apply the unit: cm

360cm is your answer.

Answer:

Set of milk, eggs, sugar and cornflour= 1250ml÷250ml= 5 sets

Number of eggs= 5 sets x 2 =10 eggs

250ml÷50ml=5

Amount of milk needed: 200ml÷5=40ml

Answer:

Step-by-step explanation:

nth root of a number 'a' is represented by the expression,

\(\sqrt[n]{a}\)

In this expression 'n' = Index of of the radical

\(\sqrt[4]{16}\) is called the 4th root of 16.

In \(\sqrt[4]{16}\), the index is 4 and the radicand is 16.

4th root of 16 can be represented by \(\sqrt[4]{16}\)

\(\sqrt[4]{16}=(16)^{\frac{1}{4}}\)

       \(=(2^{4})^{\frac{1}{4}}\)

       = 2

Answer: The answer is Neptune ^-^

Step-by-step explanation:

Got it correct on the test :]

Answer:  $500

Step-by-step explanation:

A sells to B at a profit of 10%:    1.10A = B

B sells to C for $577.50 at a profit of 5%:    1.05B = 577.50

Substitute B with 1.10A in the second equation:

1.05(1.10A) = 577.50

       1.155A = 577.50

               A = 500

Answer:

6%

Step-by-step explanation:

So, lets first go over what we know:

S(Stacia) = 5(feet) when she was 12

S = 5.3 when she was 13

To find the answer, we must find the percentage of change from 5 to 5.3.

The equation we can use to find the percentage of increase looks like:

\(\frac{5.3}{5} = percent\)

Put this in your calculator, or do this out.

When your done, you should get 1.06

Now, to put this in percentage form, we must multiply by 100:

1.06 · 100 = 106

Stacia was already 100% of her height, so the increase was 6%.

Hope this helps! :D

Answer:

5%

Step-by-step explanation:

Initial height = 5 feet

Increased height on 13th birthday = 3 inches

5 feet = 12 inches per feet = 60 inches

60 + 3 = 63 inches

\(\frac{4.8\times63}{100}\)

\(4.8 \times 63=302.4\)

\(302.4 \div100=3.024\)

4.8 rounded to 5%

\(\frac{63-60}{60} \times 100=5\)

= 5% increase

Hope this helps.

The limit of (2x-1)(3-x)/(x-1)(x+3) as x approaches infinity is 0.

To find the limit of the function (2x-1)(3-x)/(x-1)(x+3) as x approaches infinity, we will divide both the numerator and denominator through the highest power of x. In this case, the highest power of x is x², so we can divide both the numerator & the denominator through x²:

\([(2x-1)/(x^2)] * [(3-x)/((x-1)/(x^2)(x+3))]\)

Now, as x approaches infinity, every of the fractions within the expression procedures zero except for (2x-1)/(x²). This fraction techniques 0 as x procedures infinity because the denominator grows quicker than the numerator. therefore, the limit of the expression as x strategies infinity is:

0 * 0 = 0

Consequently, When x gets closer to infinity, the limit of (2x-1)(3-x)/(x-1)(x+3) is 0.

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The complement of K3,4 has 21 - 12 = 9 edges. Complement of a graph is the graph with the same vertices, but whose edges are the edges not in the original graph.

A graph G and its complement G' have the same number of vertices. If the graph G has vertices u and v but does not have an edge between u and v, then the graph G' has an edge between u and v, and vice versa. Therefore, if uv is an edge in G, then uv is not an edge in G'.Similarly, if uv is not an edge in G, then uv is an edge in G'.

The given graph is K3,4, which means it has three vertices on one side and four vertices on the other. A complete bipartite graph has an edge between every pair of vertices with different parts;

therefore, the number of edges in K3,4 is 3 x 4 = 12.

To obtain the complement of K3,4, the edges in K3,4 need to be removed.

Since there are 12 edges in K3,4, there are 12 edges not in K3,4.

Since each edge in the complement of K3,4 corresponds to an edge not in K3,4, the complement of K3,4 has 12 edges.

To get the correct answer, we need to subtract this value from the total number of edges in the complete graph on seven vertices.

The complete graph on seven vertices has (7 choose 2) = 21 edges.

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A. Manager A wants the decision to be 0.4, so they would recommend a decision of 0.4 to the principal.

B. The recommendations in the Nash equilibrium would be rA = 0.4 and rB = 0.7.

(a) If Manager B always truthfully reports the state of the economy (s = 0.7), Manager A would send a recommendation that minimizes their disutility Ua. In this case, Manager A wants the decision to be 0.4, so they would recommend a decision of 0.4 to the principal.

(b) In a Nash equilibrium, both managers strategically make their recommendations based on their own utility. Manager A wants to minimize their disutility Ua, which increases as the decision deviates from 0.4. Manager B wants to minimize their disutility UB, which increases as the decision deviates from 0.7.

To find the Nash equilibrium, we need to consider the recommendations made by both managers simultaneously. Let's denote the recommendations as rA (from Manager A) and rB (from Manager B). The principal's decision, d, would be the average of the recommendations, so d = (rA + rB) / 2.

Given that both managers strategically choose their recommendations, they will aim to minimize their disutility. In this case, Manager A would recommend a decision of 0.4 (as it minimizes Ua), and Manager B would recommend a decision of 0.7 (as it minimizes UB). Therefore, the recommendations in the Nash equilibrium would be rA = 0.4 and rB = 0.7.

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Answer:

7/3

Step-by-step explanation:

A reciprocal is a flipped version of the original fraction, so if you flip 3/7, it turns into 7/3.

Hope this helps :)

The correct answer is option C which is Gas station A is selling gasoline at a lower rate its price is $3.05 per gallon.

Expression in maths is defined as the collection of numbers, variables, and functions using signs like addition, subtraction, multiplication and division.

Here we have two pieces of information

Gas station A:-

3 gallons for $9.15

1 gallons for  $9.15 / 3 = $ 3.05

Gas station B:-

P = 3.08g

It means that station B is selling the gasoline at a higher price.

Therefore the correct answer is option C which is Gas station A is selling gasoline at a lower rate its price is $3.05 per gallon.

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The expression 3g in the numerator represents the total cost of the gas before it was split among the friends. It indicates the amount of money that needs to be divided equally among the friends to cover the cost of the gas.

In the expression 3g4, the numerator 3g represents the total cost of the gas before it was split among the friends.

To understand this, let's break down the expression:

- The number 3 represents the cost per gallon of gas. It indicates that each gallon of gas costs 3 dollars.

- The variable g represents the number of gallons of gas.

- Multiplying 3 by g gives us the total cost of the gas, which is 3g dollars.

Therefore, the expression 3g in the numerator represents the total cost of the gas before it was split among the friends. It indicates the amount of money that needs to be divided equally among the friends to cover the cost of the gas.

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The equation is 15*w*14 = 2730

We simply multiply length, width and height to get the volume of the rectangular block.

That equation becomes 210w = 2730 because 15*14 = 210

From here, we divide both sides by 210

You should end up with w = 13

As a check, 15*w*14 = 15*13*14 = 2730 which confirms we have the correct replacement for w.

Answer:

335.69

Step-by-step explanation:

If the exchange rate of USD to Kuwaiti Dinar is 0.2879, multiply the amount of USD by the exchange rate to get the answer.

$1,166 x 0.2879 = 335.6914

335.6914 rounded to the nearest hundredth (two decimal places) is 335.69

So, it is A, 335.69 dinar.

335.69 dinar Sharon will get in exchange for $1,166 option (a) 335.69 is correct.

It is defined as the comparison between two quantities that how many times the one number acquires the other number. The ratio can be presented in the fraction form or the sign : between the numbers.

We have a total amount that will need to convert = $1,166

Exchange rate of us dollars to kuwaiti dinar = 1 : 0.2879

It means $1 converted into 0.2879 dinar

The amount $1,166 in kuwaiti dinar = 1166×0.2879

= 335.69 dinar

Thus, 335.69 dinar Sharon will get in exchange for $1,166 option (a) 335.69 is correct.

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Answer:

(6,-3) or x=6 y= -3

Step-by-step explanation:

sin (60° - 20)°

sin (40°)

Note that:

sin(A - B) = sinAcosB - cosAsinB

The given trigonometric expression is:

sin 60° cos 20° - cos 60° sin 20°

Applying the addition rule of trigonometry written above:

sin 60° cos 20° - cos 60° sin 20° = sin(60° - 20°)

This can also be written as sin (40°)

Using the Bayes' theorem, we find the probability that the transferred ball was white given that the second ball drawn was white to be 52/89, or approximately 0.5843.

To solve this problem, we can use Bayes' theorem, which relates the conditional probability of an event A given an event B to the conditional probability of event B given event A:

P(A|B) = P(B|A) * P(A) / P(B)

where P(A|B) is the probability of event A given that event B has occurred, P(B|A) is the probability of event B given that event A has occurred, P(A) is the prior probability of event A, and P(B) is the prior probability of event B.

In this problem, we want to find the probability that the transferred ball was white (event A) given that the second ball drawn was white (event B). We can calculate this probability as follows:

P(A|B) = P(B|A) * P(A) / P(B)

P(B|A) is the probability of drawing a white ball from urn b given that the transferred ball was white and is now in urn b. Since there are now six white balls and three black balls in urn b, the probability of drawing a white ball is 6/9 = 2/3.

P(A) is the prior probability of the transferred ball being white, which is the number of white balls in urn a divided by the total number of balls in urn a, or 6/13.

P(B) is the prior probability of drawing a white ball from urn b, which can be calculated using the law of total probability:

P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)

where P(B|not A) is the probability of drawing a white ball from urn b given that the transferred ball was black and P(not A) is the probability that the transferred ball was black, which is 7/13.

To calculate P(B|not A), we need to first calculate the probability of the transferred ball being black and then the probability of drawing a white ball from urn b given that the transferred ball was black.

The probability of the transferred ball being black is 7/13. Once the transferred ball is moved to urn b, there are now five white balls and four black balls in urn b, so the probability of drawing a white ball from urn b given that the transferred ball was black is 5/9.

Therefore, we can calculate P(B) as follows:

P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)

= (2/3) * (6/13) + (5/9) * (7/13)

= 89/117

Now we can plug in all the values into Bayes' theorem to find P(A|B):

P(A|B) = P(B|A) * P(A) / P(B)

= (2/3) * (6/13) / (89/117)

= 52/89

Therefore, the probability that the transferred ball was white given that the second ball drawn was white is 52/89, or approximately 0.5843.

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Answer:

True

Step-by-step explanation:

I always remember it, over then up

Answer:

±5

Step-by-step explanation:

Given equation ,

=> x² - 25 = 0

=> x² - 5² = 0

=> ( x +5)(x-5) = 0

=> x = ±5

Answer:

x = -5 or 5

Step-by-step explanation:

→ Factor the quadratic

( x + 5 ) ( x - 5 )

→ Equate each bracket to 0

x + 5 = 0 and x - 5 = 0

→ Solve each for x

x = -5 or 5

Answer:

its B hope this helps :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

To find

Solution

Correct option is C

Answer:

Step-by-step explanation:

3x−7=4

1 Let x=\frac{11}{3}x=  

3

11

​  

.

3\times \frac{11}{3}-7=4

3×  

3

11

​  

−7=4

2 Cancel 33.

11-7=4

11−7=4

3 Simplify  11-711−7  to  44.

4=4

4=4

hard too understand

Answer:

Evan's recipe

Step-by-step explanation:

Given that:

Evan's recipe :

5 cups of milk for every 4 teaspoons of chocolate syrup

Carter's recipe:

3 cups of milk for every 2 teaspoons of chocolate syrup.

Recipe with the stronger tasting chocolate milk:

Take the ratio of cups of milk to teaspoons of chocolate syrup:

Evan's :

5 / 4 = 1.25

Carter's :

3 /2 = 1.5

Evan's recipe has the stronger tasting chocolate milk recipe :

5 milk cup = 4 chocolate spoons

Number of chocolate milks for 3 milk cups = x in Evan's recipe

5 = 4

3 = x

5x = 12

x = 12/5

x = 2.4 teaspoons

This is 2.4 spoons compared Carter's recipe which uses 2 spoons for every 3 milk cups

The percentage of the population in decimal is p=0.42

The mean of the sample of the binomial distribution=75.6

The standard deviation of the sample of the binomial distribution=6.622

How to convert a decimal to a percentage?

To convert a decimal number into a percentage value, multiply the decimal by 100.

What is binomial distribution?

The binomial distribution gives out either success or failure as two possible results in an experiment, is the discrete probability distribution used in probability theory and statistics.

Given that,

p = 42% = 0.42

q = 1 - p = 1 - 0.42 = 0.58

n = 180

Using the binomial distribution,

mean = \(n \times p\) = \(180 \times 0.42\) = 75.6

standard deviation = \(\sqrt{n \times p \times q}\) = \(\sqrt{180 \times 0.42 \times 0.58}\) = 6.622

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The percentage of the population in decimal is p=0.42

The mean of the sample of the binomial distribution=75.6

The standard deviation of the sample of the binomial distribution=6.622

How to convert a decimal to a percentage?

To convert a decimal number into a percentage value, multiply the decimal by 100.

What is binomial distribution?

The binomial distribution gives out either success or failure as two possible results in an experiment, is the discrete probability distribution used in probability theory and statistics.

Given that,

p = 42% = 0.42

q = 1 - p = 1 - 0.42 = 0.58

n = 180

Using the binomial distribution,

mean =   75.6

standard deviation =  6.622

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Answer:

452.39cm^2

Step-by-step explanation:

Answer:

-XxanimexX